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Simplifying 3(3x + -6) = -1(x + -2) Reorder the terms: 3(-6 + 3x) = -1(x + -2) (-6 * 3 + 3x * 3) = -1(x + -2) (-18 + 9x) = -1(x + -2) Reorder the terms: -18 + 9x = -1(-2 + x) -18 + 9x = (-2 * -1 + x * -1) -18 + 9x = (2 + -1x) Solving -18 + 9x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -18 + 9x + x = 2 + -1x + x Combine like terms: 9x + x = 10x -18 + 10x = 2 + -1x + x Combine like terms: -1x + x = 0 -18 + 10x = 2 + 0 -18 + 10x = 2 Add '18' to each side of the equation. -18 + 18 + 10x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 2 + 18 10x = 2 + 18 Combine like terms: 2 + 18 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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